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GENERAL INFORMATION

 DEFINITION OF SALIENT ELECTRICAL TERMS

1. Electricity: Electricity is a form of energy, which is invisible but it can be felt by some of its effects, such as lighting effects, heating effects, magnetic effects, chemical effects, etc.

2. Voltage: It is the electrical pressure which makes the electric current (electrons) to flow in the circuit. The unit by which voltage is measured is called Volt.

In A.C., we have single phase supply 230V and three phase supply 400V. Normally single phase supply is given for lighting loads and three phase supply for power intensified loads.

Low medium, High and Extra High Voltage:
Upto 250 Volts, it is called low voltage.
Upto 650 Volts, it is called medium voltage.
Upto 33,000 Volts, it is called high voltage (HV).
Voltage exceeding 33,000 Volts is called extra high voltage (EHV)

3. Current: Flow of electrons in any conductors is called Current. the unit by which the current is measured is called Ampere. There are two types of Electric current. viz., Direct and Alternating Current.
Direct Current: It is unidirectional current which changes its magnitude but not the direction.
Alternating Current: It is the current which changes its magnitude and direction periodically.

4.Resistance: It is the property of a substance which does not allow the electricity to pass through it. The unit used to measure the resistance is called Ohm.

5. Watt: It is the unit used for measuring electric power. The product of Volt, ampere and the power factor is watt.
Kilowatt Hour: The unit used to measure electrical energy is called Kilowatt Hour. This is the product of the electric power used in kilowatts and the No. of hours of power was utilized. The consumption bill sent to L.T. consumers is based on kilowatt hour (KW Hr.)

6. Short Circuit: When positive and negative or phase and neutral wires meet each other (bare conductor) without any resistance, then it is called short circuit. High current will flow due to this and cables will be over heated.
Short Circuit leading to overheating of cables will result in meeting of the cables with fuse blowing out causing strain to the Board's equipments.

7. Fuse: Fuse is the weakest point if an electrical circuit that may cut the circuit when an abnormal current flows. It is therefore very essential that fuse wire is provided for safety of machines and persons.
Lead or Tinned Copper is used for fuse wires.
If no fuse is provided in an electrical circuit, in the event if short circuit, high current will flow in the circuit, which will heat the cables and there will be danger or fire.

8. Earth: A solid wire coming from an electrode driven 2.5 to 3 meters deep into the ground is called earth.
Earthing is done to save human life from danger of electric shock and death by blowing the fuse of the apparatus which become leaky (faulty).
A good earthing gives very low resistances to the flow of whole current of a circuit.
Double earth is necessary for all three phase machines for the following reasons:
(a) To give low resistance.
(b) If one earth is out of order, the second will do the work.

9. Capacitor: It is a static device consisting of two metallic plates insulating by a dielectric medium. This dielectric medium can be air, paper or polypropylene
The capacity of a capacitor is expressed in terms of KVAR.

10. Generator: This is an appliance which converts mechanical energy into electrical energy. The mechanical energy is produced by a prime mover, like, diesel engine, steam turbine, etc.
D.C. generators are called Dynamos and AC generators termed Alternators.

11. Transformer: This is a static machine which converts high voltage into low voltage and vice versa, without change in supply frequency.

12. Frequency: The rate at which the no. of cycles are performed in one second is termed as frequency. The standard frequency for AC supply in India is 50 cycles/sec. 

THE ELECTRICAL WIRES, CABLES, APPLIANCES AND PROTECTION DEVICES AND

ACCESSORIES ( QUALITY CONTROL) ORDER 2003. 

No person shall by himself or through any person on his behalf manufacture or store for sale, sell or distribute any electrical wires, cables, appliances, protection devices and accessories which do not confirm to the Specified Standards and do not bear Standard Mark of the Bureau on obtaining certification marks Licence:

 PRODUCTS

S.No

Item

Standard

1

Safety of Household and similar electrical Appliances-Electrical immersion water Heaters

IS 302 –2- 201 (1992)

2

Safety of household and similar electrical Applicances – Electric iron

IS 302 – 2 –3 (1992)

3

Safety of household amd similar electrical Applicances – Electric stoves

IS 302 –2-202 (1992)

4

Safety of household amd similar electrical Applicances – Electric raditors

IS – 302-2 – 30 (1992)

5

Switches for domestic and similar prposes

IS 3854:1988

6

2 Amp switches for domestic and similar purposes

IS 4949:1968

7

Tungsten Filament General Services Lamps

IS 418

8

Electrical Accessories – Circuit Breakers for over current portection for house hold and similar installations

IS 8828

9

Residual current operated circuti breakers for household and similar uses (pt.1): ircuit breakers without intergral overcurrent Protection (RCCBs)

IS 12640 (pt.1)

10

Residual current operated circuit breaker for household and similar uses (pt.2): Circuit breakers without Intergral overcurrent Portection (RCVOs) switching elements.

IS 12640 (pt.2)

IS 13947 (pt.5)

11

PVC insulated cables for working voltages upto and including 1100V

IS 694

12

Elastomer insulated cable (pt.1) for working voltages upto and including 1100 V

IS 9968 (pt.1)

13

AC Watt-hour meters, class 0.5, 1 & 2 (KWH)

IS 13010

14

AC static Watt-hour meters, class 0.5, 1 & 2 (KWH)

IS 13779

15

Acstatic transformer operated watt-hour and VAR – hour meters, class 0.2S & 0.5S

IS 14697


IMPLIMENTING AUTHORITY
 

The Electrical Wires, Cables, Appliances and Protection Devices and Accessories ( Quality control) Order 2003. GOVERNMENT OF KERALA Power (A) Department NOTIFICATION

G. O.(Rt.) No. 236/2004/PD Dated: Thiruvanthapuram - 7th June, 2004 

S.R.O. No. 606/2004- In exercisf of the powers conferred by sub clause (b) Clause 2 of the electrical wires, Cables, Appliance, an rotection Devices and accessories ( Quality contoll) Order, 2003 publiched as notification No. S.O.189(E) in the Gazette of india extraordinary, part II -Section 3, Sub Section (ii) No. 159 dtd. The 17thday of February, 2003, the Geoverment of Kerala Herby appoint the Chief Electrical Inspector, Additional Chief Electrical Inspector, Deputy Chief Electrical Inspector and Eelectrical Inspector as the appropriate authutity to implement the provisions of the said order.

By order of the Governor

Principal Secretary to Government

 

THE ELECTRICAL WIRES, CABLES APPLIANCES AND ACCESSORIES (QUALITY CONTROL) ORDER 1993

I
As per above order following thirty three items of Household Electrical Appliances shall not be manufactured, stocked for sale without obtaining manufacturer's certificate from Appropriate Authority of the State where the item is being manufactured.

Item No.

Electrical Appliances

Standard

1.

Storage type Electric Water Heater

IS:2082-1985

2.

Elastomer insulated cables Part-I (for working voltage upto and including 1100 Volts) (For Welding cables refer IS:9857-1981)

IS:9968-1988

3.

Elastomer insulated cables Part-II (for working voltages for 3.3 KV upto and including 11KV (For welding cables refer IS:9857-1981)

IS:9968-1981

4.

PVC insulated cables for working voltage upto and including 1100 Volts

IS:694-1977

5.

Polyethylene insulated cables for working voltages upto and including 1100 Volts 

IS:1596-1977

6.

Electric Hot Plates

IS:365-1983

7.

Domestic Electric Food Mixers (Liquidizers and Grinders)

IS:4250-1980

8.

Electric Toasters

IS: 1287-1986

9.

Electric Coffee Parcolators (Non regular type)

IS: 3514-1966

10.

Electric Kettles and Jugs for Household and similar use

IS: 367-1983

11.

Domestic Electric Clothes Washing Machine

IS: 6390-1983

12.

Electric Water boilers

IS: 3412-1985

13.

Mains operated Electric Hair Dryers

IS: 7184-1973

14.

Mains operated Electric Shavers

IS: 5159-1969

15.

Domestic Electric Cooking Ovens

IS: 5790-1985

16.

Steam Irons

IS: 6290-1986

17.

Flexible Electric Heating Pads for domestic use

IS: 5161-1969

18.

Portable handhold Mains Operated Electric Massagers

IS: 7137-1973

19.

Portable low speed Food Grinding Machines

IS: 7603-1975

20.

Appliances connectors and Appliances inlets (Non-reversible 3 pin type) Appliances. Connector Part I.

IS: 3010-1965

21.

Appliances connectors and Appliances inlets (Non-reversible 3 pin type) Appliances. Connector Part II.

IS: 3010-1965

22.

Thermostats for use with Electric Water Heaters

IS: 3017-1985

23.

Cartridge type Heating Elements (Non Embedded type)

IS: 3724-1966

24.

Resistance Wires, Tapes and strips for Heating Elements

IS: 3725-1966

25.

Solid embedded type Electric Heating Elements

IS: 4158-1985

26.

Mineral filled sheathed Heating Elements

IS: 4159-1983

27.

Thermostats for general purpose Electric Ovens

IS: 4165-1967

28.

Mica-Insulated Heating Elements

IS: 6446-1986

29.

Electric Portable Lamp Stands and Brackets

IS: 3481-1966

30.

3 Pin plugs made of resilient materials

IS: 6538-1971

31.

Bayonet Lamp Holders

IS: 1258-1987

32.

Electric Instantaneous Water Heaters

IS: 8978-1985

33.

Single Walled Baking Ovens

IS: 8985-1975

(G.C.P.) Ed 2910A-(3000-4-93)

II

Following Seven items of Household Electrical Appliances shall not be manufactured, stocked for sale, or sold without obtaining ISI mark granted by Bureau of Indian Standards.

1.

Electric Iron

IS: 302-2-3 (1992)

2.

Electric immersion water heater 

IS: 302-2-201(1992)

3.

Electric Stove

IS: 302-2-202(1992)

4.

Electric Radiator

IS: 302-2-30(1992)

5.

Switches for domestic and similar purposes

IS: 3854-1988

6.

2 Amp switches for domestic and similar purposes

IS:4949-1968

7.

3 pin plugs and socket outlets

IS:1293-1988

 


III

The General Service Electric Lamp : Quality Control) Order 1989.
The Following item of Household Electrical Appliances shall not be manufactured, stocked for sale, or sold without obtaining ISI mark granted by Bureau of Indian Standards. 

 

1.

General Service Electric Lamps

IS: 418-1989

  GUIDELINES FOR CONSERVATION OF ELECTRICAL ENERGY

Conservation of electrical energy has become the challenge of today. Reduction in demand through efficient utilization of energy and waste reduction may be deemed as "energy conservation".

The easiest and quickest methods is by way of adopting simple measures immediately by all sectors of power consumers without involvement of cost.

Immediate Measures

The salient immediate measures to be followed by Domestic, Commercial and industrial consumers are given below:

Domestic Sector

1. Switch off lights, fan, coolers, air conditioners and heaters when not required.
2. Make greater use of day light for illumination and avoid use of electrical light  during day time.
3. Accumulation of dust and soot reduce the useful output. Keep lamps and fixtures free from dust and soot.
4. Avoid use of energy for decorative lighting. Switch off all the lights other than those needed for security when building is unoccupied.
5. Repair leaks and insulate the pipes of hot water supply.
6. Minimize opening of fridge doors to the extent possible.

Commercial Establishment

1. Switch off water coolers at the end of normal business hours.
2. Reduce the number of the lifts in service during hours when most occupants are not leaving or entering building. Switch off the electrical mechanism for the lifts not in use.
3. Encourage persons walk up and down one flight of stairs rather than use the lift.

Industrial Sector

1.      Tighten the belt and pulley at required intervals to reduce losses due to slip.
2. Lubricate motors and drives regularly to reduce friction.
3. The motors should be cleaned to facilitate proper cooling.
4. Heat losses in furnace can be reduced by minimizing opening of doors.

UNITS OF ELECTRICAL ENERGY CONSUMED BY COMMON DOMESTIC APPLIANCES / EQUIPMENTS 

Electrical Appliance

Wattage Rating

Time for 1 Unit of Consumption

Incandescent Bulb

25 W

40 hrs

Incandescent Bulb

60 W

25 hrs

Incandescent Bulb

100 W

10 hrs

Fluorescent Tubelight 2 ft

20 W

50 hrs

Fluorescent Tubelight 4 ft

40 W

25 hrs

Night Lamp

15 W

66 hrs 40 mins

Mosquito Repellent

5 W

200 hrs

Fan

60 W

16 hrs 40 mins

Air  Cooler

170 W

5 hrs 50 mins

Air Conditioner (1-1.5 Ton)

1500-2500 W

40 to 30 mins

Refrigerator (165 litres)

100 W

10 hrs

Mixer/Blender/Juicer

450 W

2 hrs 15 mins

Toaster

800 W

1 hrs 15 mins

Hot Plate

1000-1500 W

1hr 40 mins

Oven

1000 W

1hr

Electric Kettle

1000-2000 W

1 hr to 30 min

Iron

450-700 W

2 hrs 15 mins to 1 hr 25 mins

Water Heater 1 1/2 2 litre capacity (Instant Geyser)

3000 W

20 mins

10-20 litre (storage type)

2000 W

30 mins

Immersion Heater

1000 W

1 hr

Vacuum Cleaner

700-750 W

1 hr 20 mins

Washing Machine

325 W

3 hrs

Water Pump

750 W

1 hr 20 mins

Television

60-120 W

16 to 6 hrs

Radio

15 W

66 hrs 40 mins

Video

40 W

25 hrs

Tape Recorder

20 W

50 hrs

Stereo System

50 W

20 hrs


Note: 
Wattage ratings given above are only indicative
Please avoid using heavy domestic appliances between 6 and 9 both in morning and evening. There are Peak Hours when power consumption should be minimized.

 

CURRENT RATING FOR COPPER & ALUMINUM CONDUCTORS VULCANIZED RUBBER, PVC OR POLYTHENE INSULATED CABLES (SINGLE TWIN, THREE & FOUR CORE)

Item

Standard Copper Conductor

Continuous Current Rating (Subject to Voltage Drop) (Amps)

Standard Aluminium Conductor

Area

(Sq. In)

Strand 

(Inch)

In conduit troughing or casing (2 single Core Cables) 

Bunched in Free Air or Open Trench

One 
Twin 
Core 
DC or AC

One 3 or 4 Core Cable Balanced 3 Phases

Area

(Sq. mm)

Strand

(mm)

2 Single Core Cables

3 or 4 Core Cables

1

0.0015

1/004

5

5

5

5

5

-

-

2

0.002

3/.029

10

10

10/9

10

8/7

1.5

1/1.40

3

0.003

3/.036

15

15

13/12

15

10/11

2.5

1/1.80

4

0.0045

7/029

20

20

15

20

15

-

-

5

-

-

20

20

17

20

14

4

1/2.80

6

-

-

27

27

24

27

19

6

1/2.80

7

0.007

7/.052

28

28

25

28

20

-

-

8

-

-

34

34

31

34

24

10

1/3.55

9

0.01

7.044

36

36

32

36

25

-

-

10

0.0145

7/052

43

43

39/38

43

30

16

4/1.70

11

0.225

7/.64

53

53

48

53

37

-

-

12

-

-

59

59

54

59

42

25

7/2.24

13

.03

19/044

62

62

56

62

43

-

-

14

-

-

69

69

62

69

48

35

7/2.50

15

0.04

19/052

74

74

67

74

52

-

-

16

-

-

-

91

82

91

62

50

7/3.00

17

0.06

19/064

-

97

88

97

68

-

-

18

0.075

19/0.072

-

123

107

115

78

-

-

19

-

-

-

134

118

118

82

70

19/2.24

20

-

-

-

153

138

135

94

95

19/2.50

21

0.1

19/083

-

160

140

140

98

-

-

22

0.12

37/064

-

177

158

158

109

-

-

23

-

-

-

184

170

162

114

120

37/2.24

24

0.15

37/083

-

205

185

180

126

-

-

25

-

-

-

210

185

181

157

150

37/2.24

26

-

-

-

246

216

209

146

185

37/2.4

27

0.2

37.083

-

250

220

218

153

-

-

28

-

-

-

290

248

240

169

225

377/2.80

29

25

37/093

-

293

260

252

178

-

-

30

0.3

37/093

-

335

295

284

199

-

-

31

-

-

-

354

302

389

202

300

61/2.50

32

-

-

-

425

360

342

240

-

-

33

-

-

-

453

372

-

-

400

31/3.00

34

5

61/0.93

-

480

410

-

-

-

-

35

-

-

-

480

411

-

-

500

91/2.65

36

-

-

-

565

484

-

-

625

91/2.65

37

75

91/103

-

610

520

-

-

-

-

38

1.0

127/103

-

740

630

-

-

-

-

** Rating Ambient Temperature 30oC

For Ambient Temperature other than 30oC
Rating should be multiplied by the following Rating Factors 25oC 35oC   40oC   45oC
                                                                      Rating Factor                        1.13    96        69       47
In the above table current ratings (subject to voltage drop) have been given for Copper conductor cables (in the new metric sizes as per I.S. 1753-1961) from this chart, the requires size of Aluminium conductor can be established if either the Current Rating or the size of the Copper Conductor is known.

  

ELECTRICAL SYMBOLS



 

ELECTRICAL STANDARDS

This is a list of a few standards in the trade.

PANELBOARDS

Single Phase - 3 Wire Systems

40A | 100A | 150A | 225A | 400A 
70A | 125A | 200A | 300A | 600 A

Three Phase - 4 Wire Systems

60A | 150A | 225A | 400A
125A | 200A | 300A | 600A

 

SWITCHBOARDS
OR SWITCHGEARS

Single Phase

Three Phase

200 A
400 A
600 A
800 A
1200 A
1600 A
2000 A
2500 A
3000 A
4000 A

400 A
600 A
800 A
1200 A
1600 A
2000 A
2500 A
3000 A
4000 A

 

CIRCUIT BREAKERS AND FUSES

15 A
20 A
25 A
30 A
35 A
40 A
45 A
50 A
60 A

70 A
80 A
90 A
100 A
110 A
125 A
150 A
175 A
200 A

225 A
250 A
300 A
350 A
400 A
450 A
500 A
600 A
700 A

800 A
1000 A
1200 A
1600 A
2000 A
2500 A
3000 A
4000 A
5000 A
6000 A

For fuses only, additional standard 
sizes are 1, 3, 6, and 10.

 

GUTTERS AND WIREWAYS

2½" x 2½"
4" x 4"

6" x 6"
8" x 8"

10" x 10"

These sizes are available in 12", 24",
36", 48", and 60" lengths.

 

Disconnects

30A
60A
100a

200A
400A
600A

800A
1200A
1400A

1600A
1800A

 

PULL BOXES AND JUNCTION BOXES

4" x 4" x 4"
6" x 4" x 4"
6" x 6" x 4"
6" x 6" x 6"
8" x 6" x 4"
8" x 6" x 6"
8" x 6" x 8"
8" x 8" x 4"
8" x 8" x 6"
8" x 8" x 8"

10" x 8" x 4"
10" x 8" x 6"
10" x 10" x 4"
10" x 10" x 6"
10" x 10" x 8"
12" x 8" x 4"
12" x 8" x 6"
12" x 10" x 4"
12" x 10" x 6"
12" x 12" x 4"

12" x 12" x 6"
12" x 12" x 8"
15" x 12" x 4"
15" x 12" x 6"
18" x 12" x 4"
18" x 12" x 6"
18" x 18" x 4"
18" x 18" x 6"
24" x 18" x 6"
24" x 24" x 6"
24" x 24" x 8"

 

BUSWAY OR BUSDUCT

Single Phase

Three Phase

225 A
400 A
600 A
800 A
1000 A
1200 A
1350 A
1600 A
2000 A
2500 A
3000 A
4000 A
5000 A

225 A
400 A
600 A
800 A
1000 A
1200 A
1350 A
1600 A
2000 A
2500 A
3000 A
4000 A
5000 A

 

RUNNING OVERLOAD UNITS

Kind of Motor

Supply System

Number & Location of
Over-load Units, such as
trip coils or relay

1 - Phase AC or DC

2-wire, 1-phase ac or dc,
ungrounded

1 in either conductor

1 - Phase AC or DC

2-wire, 1-phase ac or dc,
grounded neutral

1 in ungrounded conductor

1 - Phase AC or DC

3-wire, 1-phase ac or dc,
grounded neutral

1 in either ungrounded conductor

1 - Phase AC

any 3-phase

1 in ungrounded conductor

2 - Phase AC

3-wire, 2-phase ac,
ungrounded

2, one in each phase

2 - Phase AC

3-wire, 2-phase ac,
one conductor grounded

2 ungrounded conductors

2 - Phase AC

4-wire,2-phase ac,
grounded or ungrounded

2, one per phase in
ungrounded conductors

2 - Phase AC

5-wire, 2 phase ac, grounded
neutral or ungrounded

2, one per phase in any 
ungrounded phase wire

3 - Phase AC

any 3-phase

3, one each phase *

* Exception: Where protected by other approved means.

 

USEFUL FORMULAE

E = Voltage / I = Amps /W = Watts / PF = Power Factor / Eff = Efficiency / HP = Horsepower

AC/DC Formulas

To Find

Direct Current

AC / 1phase 
115v or 120v

AC / 1phase
208,230, or 240v

AC 3 phase
All Voltages

Amps when
Horsepower is Known

HP x 746
E x Eff

HP x 746
E x Eff X PF

HP x 746
E x Eff x PF

HP x 746
1.73 x E x Eff x PF

Amps when
Kilowatts is known

kW x 1000
E

kW x 1000
E x PF

kW x 1000
E x PF

kW x 1000
1.73 x E x PF

Amps when
kVA is known

 

kVA x 1000
E

kVA x 1000
E

kVA x 1000
1.73 x E

Kilowatts

I x E
1000

I x E x PF
1000

I x E x PF
1000

I x E x 1.73 PF
1000

Kilovolt-Amps

 

I x E
1000

I x E
1000

I x E x 1.73
1000

Horsepower
(output)

I x E x Eff
746

I x E x Eff x PF
746

I x E x Eff x PF
746

I x E x Eff x 1.73 x PF
746

 

Three Phase Values

For 208 volts x 1.732, use 360
For 230 volts x 1.732, use 398
For 240 volts x 1.732, use 416
For 440 volts x 1.732, use 762
For 460 volts x 1.732, use 797
For 480 Volts x 1.732, use 831

E = Voltage / I = Amps /W = Watts / PF = Power Factor / Eff = Efficiency / HP = Horsepower

AC Efficiency and Power Factor Formulas

To Find

Single Phase

Three Phase

Efficiency

746 x HP
E x I x PF

746 x HP
E x I x PF x 1.732

Power Factor

Input Watts
V x A

Input Watts
E x I x 1.732

 

Power - DC Circuits

Watts = E xI

Amps = W / E

 

Ohm's Law / Power Formulas

= watts

= amps

R = ohms

E = Volts

 

Voltage Drop Formulas

Single Phase
(2 or 3 wire)

VD =

2 x K x I x L
CM

K = ohms per mil foot  

(Copper = 12.9 at 75°)

(Alum = 21.2 at 75°)

Note:

value changes with temperature. See Code chapter 9, Table 8

L = Length of conductor in feet

I  = Current in conductor (amperes)

CM
 = Circular mil area of conductor

CM=

2K x L x I
VD

Three Phase

VD=

1.73 x K x I x L
CM

CM=

1.73 x K x L x I
VD

 

 

MOTOR FORMULAE

Calculating Motor Speed:

A squirrel cage induction motor is a constant speed device. It cannot operate for any length of time at speeds below those shown on the nameplate without danger of burning out.

To Calculate the speed of a induction motor, apply this formula:

Srpm = 120 x F
            P

Srpm = synchronous revolutions per minute.
120   = constant
F       = supply frequency (in cycles/sec)
P       = number of motor winding poles

Example: What is the synchronous of a motor having 4 poles connected to a 60 hz power supply?

Srpm = 120 x F
            P
Srpm = 120 x 60
            4
Srpm = 7200
             4
Srpm = 1800 rpm

Calculating Braking Torque:

Full-load motor torque is calculated to determine the required braking torque of a motor.
To Determine braking torque of a motor, apply this formula:

T = 5252 x HP
    rpm

T      = full-load motor torque (in lb-ft)
5252 = constant (33,000 divided by 3.14 x 2 = 5252)
HP    = motor horsepower
rpm = speed of motor shaft

Example: What is the braking torque of a 60 HP, 240V motor rotating at 1725 rpm?

T = 5252 x HP
    rpm
T = 5252 x 60
     1725
T = 315,120
     1725
T = 182.7 lb-ft

Calculating Work:

Work is applying a force over a distance. Force is any cause that changes the position, motion, direction, or shape of an object. Work is done when a force overcomes a resistance. Resistance is any force that tends to hinder the movement of an object.If an applied force does not cause motion the no work is produced.

To calculate the amount of work produced, apply this formula:

W = F x D

W = work (in lb-ft)
F  = force (in lb)
D  = distance (in ft)

Example: How much work is required to carry a 25 lb bag of groceries vertically from street level to the 4th floor of a building 30' above street level?

W = F x D
W = 25 x 30
W = 750 -lb

 

Calculating Torque:

Torque is the force that produces rotation. It causes an object to rotate. Torque consist of a force acting on distance. Torque, like work, is measured is pound-feet (lb-ft). However, torque, unlike work, may exist even though no movement occurs.

To calculate torque, apply this formula:

T = F x D

T = torque (in lb-ft)
F = force (in lb)
D = distance (in ft)

Example: What is the torque produced by a 60 lb force pushing on a 3' lever arm?

T = F x D
T = 60 x 3
T = 180 lb ft

Calculating Full-load Torque:

Full-load torque is the torque to produce the rated power at full speed of the motor. The amount of torque a motor produces at rated power and full speed can be found by using a horsepower-to-torque conversion chart. When using the conversion chart, place a straight edge along the two known quantities and read the unknown quantity on the third line.

To calculate motor full-load torque, apply this formula:

T = HP x 5252
    rpm

T = torque (in lb-ft)
HP = horsepower
5252 = constant
rpm = revolutions per minute

Example: What is the FLT (Full-load torque) of a 30HP motor operating at 1725 rpm?

T = HP x 5252
    rpm
T = 30 x 5252
     1725
T = 157,560
     1725
T = 91.34 lb-ft

Calculating Horsepower:

Electrical power is rated in horsepower or watts. A horsepower is a unit of power equal to 746 watts or 33,0000 lb-ft per minute (550 lb-ft per second). A watt is a unit of measure equal to the power produced by a current of 1 amp across the potential difference of 1 volt. It is 1/746 of 1 horsepower. The watt is the base unit of electrical power. Motor power is rated in horsepower and watts.
Horsepower is used to measure the energy produced by an electric motor while doing work.

To calculate the horsepower of a motor when current and efficiency, and voltage are known, apply this formula:

HP = V x I x Eff
        746

HP = horsepower
V    = voltage
I     = curent (amps)
Eff. = efficiency

Example: What is the horsepower of a 230v motor pulling 4 amps and having 82% efficiency?

HP = V x I x Eff
        746
HP = 230 x 4 x .82
        746
HP = 754.4
        746
HP = 1 Hp

Eff = efficiency / HP = horsepower / V = volts / A = amps / PF = power factor

Horsepower Formulas

To Find

Use Formula

Example

Given

Find

Solution

HP

HP = I X E X Eff.
       746

240V, 20A, 85% Eff.

HP

HP = 240V x 20A x 85%
       746
HP=5.5

I

I = HP x 746
     E X Eff x PF

10HP, 240V, 
90% Eff., 88% PF

I

I = 10HP x 746
      240V x 90% x 88%
I = 39 A

To calculate the horsepower of a motor when the speed and torque are known, apply this formula:

HP = rpm x T(torque)
         5252(constant)

Example: What is the horsepower of a 1725 rpm motor with a FLT 3.1 lb-ft?

HP = rpm x T
         5252
HP = 1725 x 3.1
         5252
HP = 5347.5
         5252
HP = 1 hp

Calculating Synchronous Speed:

AC motors are considered constant speed motors. This is because the synchronous speed of an induction motor is based on the supply frequency and the number of poles in the motor winding. Motor are designed for 60 hz use have synchronous speeds of 3600, 1800, 1200, 900, 720, 600, 514, and 450 rpm.

To calculate synchronous speed of an induction motor, apply this formula:

rpmsyn = 120 x f
              Np

rpmsyn = synchronous speed (in rpm)
f           = supply frequency in (cycles/sec)
Np       =  number of motor poles

Example: What is the synchronous speed of a four pole motor operating at 50 hz.?

rpmsyn = 120 x f
              Np
rpmsyn = 120 x 50
              4
rpmsyn = 6000
              4
rpmsyn = 1500 rpm

TRANSFORMER FORMULAE

To better understand the following formulas review the rule of transposition in equations.
A multiplier may be removed from one side of an equation by making it a division on the other side, or a division may be removed from one side of an equation by making it a multiplier on the other side.

1. Voltage and Current: Primary (p) secondary (s)
Power(p) = power (s) or Ep x Ip = Es x Is

A.

Ep =

Es x Is
Ip

B.

Ip =

Es x Is
Ep

C.

Is =

Ep x Ip
Es

D.

Es =

Ep x Ip
Is

 

2. Voltage and Turns in Coil:
Voltage (p) x Turns (s) = Voltage (s) x Turns (p)
or Ep x Ts = Es x Ip

A.

Ep =

Es x Ip
Ts

B.

Ts =

Es x Tp
Ep

C.

Tp =

Ep x Ts
Es

D.

Es =

Ep x Ts
Tp



3. Amperes and Turns in Coil:
Amperes (p) x Turns (p) = Amperes (s) x Turns (s)
or Ip x Tp = Is x Ts

A.

Ip =

Is x Ts
Tp

B.

Tp =

Is x Ts
Ip

C.

Ts =

Ip x Tp
Is

D.

Is =

Ip x Tp
Ts

 

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